Differential calculus and integration of generalized functions over membranes

In this paper we continue the development of the differential calculus started in Aragona et al. (Monatsh. Math. 144: 13-29, 2005). Guided by the so-called sharp topology and the interpretation of Colombeau generalized functions as point functions on generalized point sets, we introduce the notion of membranes and extend the definition of integrals, given in Aragona et al. (Monatsh. Math. 144: 13-29, 2005), to integrals defined on membranes. We use this to prove a generalized version of the Cauchy formula and to obtain the Goursat Theorem for generalized holomorphic functions. A number of results from classical differential and integral calculus, like the inverse and implicit function theorems and Green's theorem, are transferred to the generalized setting. Further, we indicate that solution formulas for transport and wave equations with generalized initial data can be obtained as well.

Integrated pulp and paper mill planning and scheduling

This article describes a real-world production planning and scheduling problem occurring at an integrated pulp and paper mill (P&P) which manufactures paper for cardboard out of produced pulp. During the cooking of wood chips in the digester, two by-products are produced: the pulp itself (virgin fibers) and the waste stream known as black liquor. The former is then mixed with recycled fibers and processed in a paper machine. Here, due to significant sequence-dependent setups in paper type changeovers, sizing and sequencing of lots have to be made simultaneously in order to efficiently use capacity. The latter is converted into electrical energy using a set of evaporators, recovery boilers and counter-pressure turbines. The planning challenge is then to synchronize the material flow as it moves through the pulp and paper mills, and energy plant, maximizing customer demand (as backlogging is allowed), and minimizing operation costs. Due to the intensive capital feature of P&P, the output of the digester must be maximized. As the production bottleneck is not fixed, to tackle this problem we propose a new model that integrates the critical production units associated to the pulp and paper mills, and energy plant for the first time. Simple stochastic mixed integer programming based local search heuristics are developed to obtain good feasible solutions for the problem. The benefits of integrating the three stages are discussed. The proposed approaches are tested on real-world data. Our work may help P&P companies to increase their competitiveness and reactiveness in dealing with demand pattern oscillations. (C) 2012 Elsevier Ltd. All rights reserved.

Burden of maternal bipolar disorder on at-risk offspring: A controlled study on family planning and maternal care

Introduction: Bipolar disorder (BD) is a highly incapacitating disease typically associated with high rates of familial dysfunction. Despite recent literature suggesting that maternal care is an important environmental factor in the development of behavioral disorders, it is unclear how much maternal care is dysfunctional in BD subjects. Objective: The objective of this study was to characterize maternal care in DSM-IV/SCID diagnosed BD type I subjects compared to healthy controls with (PD) and without (NPD) other psychiatric diagnoses. Materials and methods: Thirty-four BD mothers and 106 controls underwent an interview about family planning and maternal care, obstetrical complications, and mother-child interactions. K-SADS-PL questions about violence exposure were used to ascertain domestic violence and physical/sexual abuse. Results: BD mothers were less likely to have stable unions (45.5%; p < 0.01) or to live with the biological father of their children (33.3%; p < 0.01), but had higher educational level and higher rates of social security use/retirement. They also had fewer children and used less contraceptive methods than controls. Children of BD women had higher rates of neonatal anoxia, and reported more physical abuse (16.1%; p = 0.02) than offspring of NPD mothers. Due to BD mothers' symptoms, 33.3% of offspring suffered physical and/or psychological abuse. Limitations: Post hoc analysis, and the use of questions as a surrogate of symptoms as opposed to validated instruments. Conclusion: This is one of few reports confirming that maternal care given by BD women is dysfunctional. BD psychopathology can lead to poor maternal care and both should be considered important environmental risk factors in BD, suggesting that BD psychoeducation should include maternal care orientation. (C) 2012 Elsevier B.V. All rights reserved.

Premotor and occipital theta asymmetries as discriminators of memory- and stimulus-guided tasks

The saccadic paradigm has been used to investigate specific cortical networks involving visuospatial attention. We examined whether asymmetry in theta and beta band differentiates the role of the hemispheres during the execution of two different prosacadic conditions: a fixed condition, where the stimulus was presented at the same location; and a random condition, where the stimulus was unpredictable. Twelve healthy volunteers (3 male; mean age: 26.25) performed the task while their brain activity pattern was recorded using quantitative electroencephalography. We did not find any significant difference for beta, slow- and fast-alpha frequencies for the pairs of electrodes analyzed. The results for theta band showed a superiority of the left hemisphere in the frontal region when responding to the random condition on the right, which is related to the planning and selection of responses, and also a greater activation of the right hemisphere during the random condition, in the occipital region, related to the identification and recognition of patterns. These results indicate that asymmetries in the premotor area and the occipital cortex differentiate memory- and stimulus-driven tasks. (C) 2011 Elsevier Inc. All rights reserved.

Analysis of slow- and fast-alpha band asymmetry during performance of a saccadic eye movement task: Dissociation between memory- and attention-driven systems

This study aimed at analyzing the relationship between slow- and fast-alpha asymmetry within frontal cortex and the planning, execution and voluntary control of saccadic eye movements (SEM), and quantitative electroencephalography (qEEG) was recorded using a 20-channel EEG system in 12 healthy participants performing a fixed (i.e., memory-driven) and a random SEM (i.e., stimulus-driven) condition. We find main effects for SEM condition in slow- and fast-alpha asymmetry at electrodes F3-F4, which are located over premotor cortex, specifically a negative asymmetry between conditions. When analyzing electrodes F7-F8, which are located over prefrontal cortex, we found a main effect for condition in slow-alpha asymmetry, particularly a positive asymmetry between conditions. In conclusion, the present approach supports the association of slow- and fast-alpha bands with the planning and preparation of SEM, and the specific role of these sub-bands for both, the attention network and the coordination and integration of sensory information with a (oculo)-motor response. (C) 2011 Elsevier B.V. All rights reserved.

Desenvolvimento de modelo matemático de otimização logística para o transporte multimodal de safras agrícolas pelo corredor centro-oeste

Este artigo apresenta um modelo matemático de otimização logística para o transporte multimodal de safras agrícolas pelo corredor Centro-Oeste. Tal ferramenta foi desenvolvida no contexto de três amplos projetos de pesquisa financiados pela FINEP e executados por um grupo de universidades. O modelo, conhecido genericamente como Modelo de fluxo de Custo Mínimo Multiproduto, considera a otimização de fluxos em rede, para os produtos açúcar, álcool, milho, soja, óleo de soja, farelo de soja e trigo. O modelo proposto para estimativa dos fluxos inter-regionais mostrou-se uma ferramenta factível para fins de avaliação do potencial de utilização da multimodalidade. A análise destes resultados gera importantes subsídios para a seleção dos locais com potencial para instalação de mecanismos e equipamentos de transferência de cargas, além de auxiliar no dimensionamento dessas infraestruturas. Também é um resultado importante do ferramental desenvolvido a identificação das zonas de cargas que apresentam potencial captável pelas ferrovias, hidrovias e dutovias, ou seja, possibilita a identificação das regiões que revelam potencial para uso da multimodalidade.